Question

solve the inequality and graph the solution.
56 - c ≤ 48
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Explanation:

Step1: Isolate the variable c

Subtract 56 from both sides of the inequality $56 - c\leq48$. We get $-c\leq48 - 56$.

Step2: Simplify the right - hand side

$48-56=-8$, so $-c\leq - 8$.

Step3: Solve for c

Multiply both sides of the inequality by - 1. Remember to reverse the inequality sign when multiplying by a negative number. We have $c\geq8$.

Answer:

The solution of the inequality is $c\geq8$. On the number - line, we plot a closed circle at 8 (since the inequality is $\geq$) and draw an arrow to the right.